Answered

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Which expression is equivalent to O x³ (3√√y) O + (3√√) *²7 (2√x) x24 (3√y) # (x²²y) 3³7 x27 Which expression is equivalent to O x³ ( 3√√y ) O + ( 3√√ ) * ²7 ( 2√x ) x24 ( 3√y ) # ( x²²y ) 3³7 x27

Which Expression Is Equivalent To O X 3y O 3 7 2x X24 3y Xy 37 X27 Which Expression Is Equivalent To O X 3y O 3 7 2x X24 3y Xy 37 X27 class=

Sagot :

Answer

[tex]=x^9(\sqrt[3]{y})[/tex]

Explanation

When an exponent is a fraction, we can write it as a radical as follows:

[tex]x^{\frac{a}{b}}=\sqrt[b]{x^a}[/tex]

Then, based on the latter, our expression can be rewritten as follows:

[tex](x^{27}y)^{\frac{1}{3}}=\sqrt[3]{(x^{27}y)^1}[/tex][tex](x^{27}y)^{\frac{1}{3}}=\sqrt[3]{x^{27}y}[/tex]

Now, we must simplify x, as it has an exponent of 27, meaning:

[tex]=\sqrt[3]{x^{27}}\cdot\sqrt[3]{y}[/tex][tex]=x^9\cdot\sqrt[3]{y}[/tex]

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